For a given function f(x), the divided-differences table is given by: Xo = 0 x₁ = 1 x₂ = 2 X3 = 3 The values of a is: 20 22 O 19 O 17 f[xo] = a f[x₂] = b f[x₂] = 20 f[x3] =35 f[xo.x₁] = -1 f[x₁, x₂] = C f[x₂, x3] = 15 f[x0, x₁, x₂] = d f[x1, x2, X3] = 7 f[x0, X1, X2, X3] = 2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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For a given function f(x), the divided-differences table is given by:
Xo = 0
x₁ = 1
x₂ = 2
X3 = 3
The values of a is:
20
22
O 19
O 17
f[xo] = a
f[x₂] = b
f[x₂] = 20
f[x3] =35
f[xo.x₁] = -1
f[x₁, x₂] = c
f[x2, x3] = 15
f[x0, x₁, x₂] = d
f[X1, X2, X3] = 7
f[x0, X1, X2, X3] = 2
Transcribed Image Text:For a given function f(x), the divided-differences table is given by: Xo = 0 x₁ = 1 x₂ = 2 X3 = 3 The values of a is: 20 22 O 19 O 17 f[xo] = a f[x₂] = b f[x₂] = 20 f[x3] =35 f[xo.x₁] = -1 f[x₁, x₂] = c f[x2, x3] = 15 f[x0, x₁, x₂] = d f[X1, X2, X3] = 7 f[x0, X1, X2, X3] = 2
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